What is the inverse of f(x)=1+(2x-1)/(3x+2) ?

The inverse of f(x)=1+(2x-1)/(3x+2) is (1-2x)/(3x-5)

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inverse of f(x)=1+(2x-1)/(3x+2)

inverse

f (x) = 1 + \frac{2 x - 1}{3 x + 2}

\frac{1 - 2 x}{3 x - 5}

Solution steps

y = 1 + \frac{2 x - 1}{3 x + 2}

Replace

x

with

y

x = 1 + \frac{2 y - 1}{3 y + 2}

Solve for

y, x = 1 + \frac{2 y - 1}{3 y + 2}

\frac{1 - 2 x}{3 x - 5}

What is the inverse of f(x)=1+(2x-1)/(3x+2) ?
The inverse of f(x)=1+(2x-1)/(3x+2) is (1-2x)/(3x-5)